2.
\(y(t) = e^{4t}\text{;}\) \(y' = 4y\)
3.
\(y(t) = 3e^{-2t}\text{;}\) \(y' = -2y\)
4.
\(y(t) = 3e^{5t}\text{;}\) \(y' - 5y = 0\)
5.
\(y(t) = e^{3t} - 2\text{;}\) \(y' = 3y + 6\)
6.
\(y(t) = -7e^{t^2} - \dfrac{1}{2}\text{;}\) \(y' = 2ty + t\)
7.
\(y(t) = (t^8 - t^4)^{1/4}\text{;}\) \(y' = \dfrac{2y^4 + t^4}{ty^3}\)
8.
\(y(t) = t\text{;}\) \(y'' - ty' + y = 0\)
9.
\(y(t) = e^t + e^{2t}\text{;}\) \(y'' - 4y' + 4y = e^t\)